Lesson 13

More Solutions to Linear Equations

Problem 1

For each equation, find $$y$$ when $$x=\text-3$$. Then find $$x$$ when $$y=2$$

1. $$y=6x+8$$
2. $$y=\frac23x$$
3. $$y=\text-x+5$$
4. $$y=\frac34x-2\frac12$$
5. $$y=1.5x +11$$

Solution

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Problem 2

True or false: The points $$(6,13)$$, $$(21,33)$$, and $$(99,137)$$ all lie on the same line. The equation of the line is $$y=\frac43x+5$$. Explain or show your reasoning.

Solution

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Problem 3

Here is a linear equation: $$y=\frac14 x +\frac54$$

1. Are $$(1,1.5)$$ and $$(12,4)$$ solutions to the equation? Explain or show your reasoning.
2. Find the $$x$$-intercept of the graph of the equation. Explain or show your reasoning.

Solution

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Problem 4

Find the coordinates of $$B$$, $$C$$, and $$D$$ given that $$AB$$ = 5 and $$BC$$ = 10.

Solution

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(From Unit 2, Lesson 11.)

Problem 5

Match each graph of a linear relationship to a situation that most reasonably reflects its context.

Solution

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(From Unit 3, Lesson 9.)